Given numbers are 813,204,205,258

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 813,204,205,258 is 487328460.

Find LCM of 813,204,205,258 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 271 x 34 x 205 x 43 = 487328460

Therefore, the lowest common multiple of 813,204,205,258 is 487328460.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

813 x 204 x 205 x 258 = 8771912280

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

813 : 1, 3, 271, 813

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

205 : 1, 5, 41, 205

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,204,205,258, is 1.

Now, the common factors can be found like this.

813:3x 271

204:2x 2x 3x 17

205:5x 41

258:2x 3x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 8771912280/(1x18)

LCM = 8771912280/18

LCM = 487328460

Thus, we can understand that the LCM of 813,204,205,258 is 487328460.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 311, 858, 133, 118
• LCM of 838, 931, 752, 262
• LCM of 713, 745, 531, 811
• LCM of 400, 252, 899, 399
• LCM of 650, 212, 825, 913

1. What is the LCM of 813, 204, 205, 258?

Answer: LCM of 813, 204, 205, 258 is 487328460.

2. How to calculate the LCM of 813, 204, 205, 258?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 813, 204, 205, 258.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.